If the critical angle for total internal reflection from a medium to vacuum is 30. Then the speed of light in the medium is

  1. 6 × 10m/s
  2. 3 × 10m/s
  3. 2 × 10m/s
  4. 1.5 × 10m/s

Answer (Detailed Solution Below)

Option 4 : 1.5 × 10m/s
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CUET General Awareness (Ancient Indian History - I)
10 Qs. 50 Marks 12 Mins

Detailed Solution

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CONCEPT:

Total internal reflection (TIR):

  • Total internal reflection (TIR) occurs at the interface of two transparent medium when the ray of light travels from a denser medium to a rarer medium.
  • The critical angle is the angle of incidence in the denser medium for which the angle of refraction in the rarer medium is 90°.
  • Total internal reflection (TIR) of light is the reflection of light within the same medium when a ray of light is incident at the interface of two medium at an angle of incidence which is greater than the critical angle for the pair of media i.e. i > ic.
  • The relation between refractive index and critical angle is

CALCULATION:

Given  - critical angle (C) = 30

  • The relation between refractive index and critical angle is

As we know, the refractive index is written as

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